A frog is sitting exactly in the middle of a board that is five feet long. Every ten seconds he jumps one foot to the left or one foot to the right, at random. You want to use simulation to estimate the probability that he jumps off the board in sixty seconds or less. (For example, if he jumps LLRLRL, he is still on the board, on the left-most square. If he jumps LLRLL, he has jumped off the board in fifty seconds.)

(a) Describe how you would use the digits of a random number table to carry out this simulation.

(b) Use the random number table below to carry out three trials of the frog's jumps. Mark directly on or above the table so that someone can follow what you did. Based upon the results of the simulation, what is the estimated probability that the frog jumps off the board within 60 seconds?

9692719931360897419277567887414840941903

4390999477253306435940085169258511736071

1568914227065651437413352493678198287209